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4004045633550 = 2352757160721943
BaseRepresentation
bin111010010001000011101…
…101111011100000001110
3112011210010211021011211210
4322101003231323200032
51011100241140233200
612303233321555250
7562165661220114
oct72210355734016
915153124234753
104004045633550
111304119413a76
12548016945b26
13230770006c41
14dbb22771ab4
156e24b246650
hex3a443b7b80e

4004045633550 has 96 divisors (see below), whose sum is σ = 9949791601152. Its totient is φ = 1065622884480.

The previous prime is 4004045633519. The next prime is 4004045633551. The reversal of 4004045633550 is 553365404004.

4004045633550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004045633499 and 4004045633508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004045633551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182463879 + ... + 182485821.

It is an arithmetic number, because the mean of its divisors is an integer number (103643662512).

Almost surely, 24004045633550 is an apocalyptic number.

4004045633550 is an abundant number, since it is smaller than the sum of its proper divisors (5945745967602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4004045633550 is a wasteful number, since it uses less digits than its factorization.

4004045633550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24322 (or 24317 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 4004045633550 in words is "four trillion, four billion, forty-five million, six hundred thirty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 757 1514 1607 2271 3214 3785 4542 4821 7570 8035 9642 11355 16070 18925 21943 22710 24105 37850 40175 43886 48210 56775 65829 80350 109715 113550 120525 131658 219430 241050 329145 548575 658290 1097150 1216499 1645725 2432998 3291450 3649497 6082495 7298994 12164990 16610851 18247485 30412475 33221702 35262401 36494970 49832553 60824950 70524802 83054255 91237425 99665106 105787203 166108510 176312005 182474850 211574406 249162765 352624010 415271275 498325530 528936015 830542550 881560025 1057872030 1245813825 1763120050 2491627650 2644680075 5289360150 26693637557 53387275114 80080912671 133468187785 160161825342 266936375570 400404563355 667340938925 800809126710 1334681877850 2002022816775 4004045633550